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Finding the Fourth Proportional to 678,842.38, 936,772.18 and 407,060.24

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Solution

The fourth proportional to 678,842.38, 936,772.18 and 407,060.24 is: 561,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,842.38 : 936,772.18 = 407,060.24 : x
  2. Step 2: Convert to fraction form
    678,842.38/936,772.18 = 407,060.24/x
  3. Step 3: Cross multiply
    678,842.38x = 936,772.18 × 407,060.24
  4. Step 4: Simplify right side
    678,842.38x = 381,322,709,740.40
  5. Step 5: Solve for x
    x = 381,322,709,740.40/678,842.38
  6. Step 6: Final answer
    x = 561,724.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.